Positive solutions for generalized Hardy-Henon equations

Positive solutions for generalized Hardy-Henon equations

This article concerns a generalized Hardy-Henon equation and its associated Dirichlet problem. We obtain upper and lower estimates for positive solutions, and establish the existence and nonexistence of positive solutions to both the equation and its associated Dirichlet problem under certain par...

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Bibliographic Details
Main Authors: Xizheng Zhang, Xiyou Cheng, Meihua Yang
Format: Article
Language:English
Published: Texas State University 2025-05-01
Series:Electronic Journal of Differential Equations
Subjects:
hardy-henon equation
sub-super solution method
mountain pass theorem
singularity
Online Access:http://ejde.math.txstate.edu/Volumes/2025/50/abstr.html
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Summary:This article concerns a generalized Hardy-Henon equation and its associated Dirichlet problem. We obtain upper and lower estimates for positive solutions, and establish the existence and nonexistence of positive solutions to both the equation and its associated Dirichlet problem under certain parametric conditions.
ISSN:1072-6691

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